Optimal Stopping Methods for Investment Decisions: A Literature Review

Z Liu, Y Mu - International Journal of Financial Studies, 2022 - mdpi.com
Investors decide the best time to take a given action by maximizing their utility function while
taking into account current information and the underlying process in the optimal stopping …

Optimal stopping problems for maxima and minima in models with asymmetric information

PV Gapeev, L Li - Stochastics, 2022 - Taylor & Francis
We derive closed-form solutions to optimal stopping problems related to the pricing of
perpetual American withdrawable standard and lookback put and call options in an …

Optimal double stopping problems for maxima and minima of geometric Brownian motions

PV Gapeev, PM Kort, MN Lavrutich… - … and Computing in Applied …, 2022 - Springer
We present closed-form solutions to some double optimal stopping problems with payoffs
representing linear functions of the running maxima and minima of a geometric Brownian …

Perpetual American standard and lookback options with event risk and asymmetric information

PV Gapeev, L Li - SIAM Journal on Financial Mathematics, 2022 - SIAM
We derive closed-form solutions to the perpetual American standard and floating-strike
lookback put and call options in an extension of the Black--Merton--Scholes model with …

Discounted optimal stopping problems for maxima of geometric Brownian motions with switching payoffs

PV Gapeev, PM Kort, MN Lavrutich - Advances in Applied Probability, 2021 - cambridge.org
We present closed-form solutions to some discounted optimal stopping problems for the
running maximum of a geometric Brownian motion with payoffs switching according to the …

[HTML][HTML] Perpetual American options in diffusion-type models with running maxima and drawdowns

PV Gapeev, N Rodosthenous - Stochastic Processes and their Applications, 2016 - Elsevier
We study perpetual American option pricing problems in an extension of the Black–Merton–
Scholes model in which the dividend and volatility rates of the underlying risky asset depend …

[HTML][HTML] On the drawdowns and drawups in diffusion-type models with running maxima and minima

PV Gapeev, N Rodosthenous - Journal of Mathematical Analysis and …, 2016 - Elsevier
We obtain closed-form expressions for the values of joint Laplace transforms of the running
maximum and minimum of a diffusion-type process stopped at the first time at which the …

Last-passage American cancelable option in Lévy models

Z Palmowski, P Stȩpniak - Journal of Risk and Financial Management, 2023 - mdpi.com
We derive the explicit price of the perpetual American put option canceled at the last-
passage time of the underlying above some fixed level. We assume that the asset process is …

Discounted optimal stopping problems in first-passage time models with random thresholds

PV Gapeev, H Al Motairi - Journal of Applied Probability, 2022 - cambridge.org
We derive closed-form solutions to some discounted optimal stopping problems related to
the perpetual American cancellable dividend-paying put and call option pricing problems in …

Perpetual American double lookback options on drawdowns and drawups with floating strikes

PV Gapeev - Methodology and Computing in Applied Probability, 2022 - Springer
We present closed-form solutions to the problems of pricing of the perpetual American
double lookback put and call options on the maximum drawdown and the maximum drawup …